Reducibility for a class of nonlinear quasi-periodic differential equations with degenerate equilibrium point under small perturbation
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Publication:3002604
DOI10.1017/S0143385709001114zbMath1218.34050OpenAlexW2026448074MaRDI QIDQ3002604
Publication date: 20 May 2011
Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s0143385709001114
Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27)
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Cites Work
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- Gevrey-smoothness of invariant tori for analytic nearly integrable Hamiltonian systems under Rüssmann's non-degeneracy condition
- Full measure reducibility for generic one-parameter family of quasi-periodic linear systems
- On the reducibility of linear differential equations with quasiperiodic coefficients
- On the reducibility of almost periodic systems of linear differential equations
- Convergent series expansions for quasi-periodic motions
- Persistence of Floquet invariant tori for a class of non-conservative dynamical systems
- On the reducibility of linear differential equations with quasiperiodic coefficients which are degenerate
- On Quasi-Periodic Perturbations of Elliptic Equilibrium Points
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